Answer:
= 9y^4 -6y^3 -17y^2 -18y -10
Step-by-step explanation:
(3y^2 + 2y + 2) x (3y^2 – 4y – 5)
9y^4 - 12y^3 - 15y^2 + 6y^3 -8y^2 -10y +6y^2 -8y -10
= 9y^4 -6y^3 -17y^2 -18y -10
Answer:
27525.4902
Step-by-step explanation:
First need to add the total number of employees:
14+11+17+3+5+1=51
Now multiply the salary for each number of employees then add to have the total:
14x21000+11x22800+17x24800+3x32200+5x38500+1x148300= 1403800
Now to obtain the mean value just divide the total salary by the total number of employees:
1403800/51= 27525.4902
the mean salary is $27,525.49
Answer:
4%
Step-by-step explanation : by subtracting the 8 by 4
Answer:
Rotation
Step-by-step explanation:
A transformation of a triangle can be either dilation or reflection or rotation or a translation.
Dilation happens when a symmetric figure is formed with scale factor other than 1. But here both triangles have same side length. Hence no dilation
Reflection happens when it is reflected over a line as we see in a mirror. But here the two triangles are not looking as images on a line. Hence no reflection
Rotation is keeping the same shape but rotating through a certain angle. Here DEF is rotated without disturbing its shape or size through a certain angle. Hence rotation is right
Translation is not right because there is no vertical or horizontal shift to get new triangle.
Step-by-step explanation:
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Answer:
Hence, the system of equations that is used to represent the situation is:
23x+7y=94-----(1)
16x+14y=38------(2)
Step-by-step explanation:
Let x represent the amount of points received for a correct answer and y represent the amount of points for an incorrect answer.
- You’ve gotten 23 questions correct and only 7 wrong,giving you a total score of 94 points.
So, the equation formed is:
23x+7y=94
- Your friend, on the other hand, got 16 questions correct and 14 wrong for a total score of 38 points.
So, the equation formed is:
16x+14y=38
Hence, the system of equations that is used to represent the situation is:
23x+7y=94-----(1)
16x+14y=38------(2)